High Performance Computing in Science and Engineering ’02: by Franz Gähler, Christopher Kohler, Johannes Roth, Hans-Rainer

By Franz Gähler, Christopher Kohler, Johannes Roth, Hans-Rainer Trebin (auth.), Egon Krause, Willi Jäger (eds.)

This booklet offers the state of the art in modeling and simulation on supercomputers. prime German study teams current their effects accomplished on high-end structures of the excessive functionality Computing middle Stuttgart (HLRS) for the yr 2002. studies disguise all fields of supercomputing simulation starting from computational fluid dynamics to machine technological know-how. exact emphasis is given to industrially proper functions. in addition, by means of featuring effects for either vector sytems and micro-processor established structures the e-book permits to match functionality degrees and usefulness of a number of supercomputer architectures. It accordingly turns into an imperative guidebook to evaluate the influence of the japanese Earth Simulator undertaking on supercomputing within the years to come.

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Extra info for High Performance Computing in Science and Engineering ’02: Transactions of the High Performance Computing Center Stuttgart (HLRS) 2002

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The elliptical streamlines of the Poincare flow lie in planes. A normal to these planes passing through the center of one of the ellipses does not pass through the center of any other ellipse (see Fig. 1) which shows that there must be shearing motion between adjacent planes. This shear also leads to inertial instability [5]. Two paths have been followed to predict the critical parameters for the onset of instability ([3], [5]). The first one is a pertubation approach in which distortions of the ground state from a solid body rotation are assumed small.

Tilgner. Magnetohydrodynamic flow in precessing spherical shells. J. , 379:303-318, 1999. 18. A. Tilgner. Non-axisymmetric shear layers in precessing fluid ellipsoidal shells. Geophys. J. , 136:629-636, 1999. Inertial Instabilities in precession Driven Flow 47 19. A. R. Busse. Fluid flows in precessing spherical shells. J. , 426:387-396, 2000. 20. P. W. Likins. Measurement of energy disipation in a liquid-filled, precessing, spherical cavity. Trans. ASME J. Appl. , 38:674-682, 1971. 21. P. W. Likins.

Busse Fig. 9. 105 , T = 104 , P = 1, Pm = 4. , in right halves of the circles OIl the left side. On the right lines of constant By. 3ro. dipolar dynamos which, however, tend to continue to exhibit the oscillatory behavior of the quadrupolar dynamo as shown in figure 17 of Busse (2002). Since R is of the order 20 times its critical value the dynamo process is highly chaotic. But except for the different symmetry with respect to the equatorial plane the oscillations resemble those of the quadrupolar case.

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